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Finding the Fourth Proportional to 75,057.60, 103,578.72 and 41,523.84

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Solution

The fourth proportional to 75,057.60, 103,578.72 and 41,523.84 is: 57,302.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,057.60 : 103,578.72 = 41,523.84 : x
  2. Step 2: Convert to fraction form
    75,057.60/103,578.72 = 41,523.84/x
  3. Step 3: Cross multiply
    75,057.60x = 103,578.72 × 41,523.84
  4. Step 4: Simplify right side
    75,057.60x = 4,300,986,196.68
  5. Step 5: Solve for x
    x = 4,300,986,196.68/75,057.60
  6. Step 6: Final answer
    x = 57,302.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.